Geodesic

Sommaire du Fascicule no. 1

Yuriǐ Alekseevich Mitropol'skiǐ (on the occasion of his seventieth birthday)
p. 3-9
On smoothness of the solution of a degenerate problem with a directional derivative
p. 10-22
On an “almost” model boundary value problem for a higher-order parabolic equation
p. 22-29
On a system of differential equations with operator coefficients
p. 29-38
Spectral theory of a problem of small oscillations of an ideal fluid in a rotating elastic vessel
p. 38-47
On the stabilization of means with respect to time for the difference of solutions of the Cauchy problem for hyperbolic equations
p. 47-62
A lower bound for the sum of squares of fundamental functions of a second-order selfadjoint elliptic operator
p. 62-72
The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. I
p. 72-78
Nonlocal boundary value problems for equations of mixed type
p. 78-84
On the theory of equations of mixed type with discontinuous coefficients. I
p. 85-102
Second-order equations with an elliptic operator with respect to the space variables
p. 102-113
Estimates for the integral moduli of continuity of the higher derivatives of solutions of elliptic equations
p. 113-124
Inverse problems for the determination of parameters of a nonstationary transport equation by overdeterminations of integral type
p. 124-136
On the solvability of inverse boundary value problems for the determination of the coefficient preceding the lower derivative in a parabolic equation
p. 136-143
On certain problems of the quadratic regulator for linear hyperbolic equations
p. 143-154
On the Riesz means for root function expansions of certain nonlocal boundary value problems
p. 155-160
A mixed problem of the plane theory of elasticity in regions with a piecewise-smooth boundary
p. 161-168
Asymptotic behavior of a spectral function of the Schrödinger operator with potential $q\in L_2(R^3)$
p. 169-172
On an inverse Hausdorff–Young inequality for eigen- and associated functions of the Sturm–Liouville operator with discontinuous coefficients
p. 172-174
On a nonlocal problem for functions harmonic in a multiply connected domain
p. 174-177
On the basis property of a system of sines
p. 177-179

Sommaire du Fascicule no. 2

On the properties of oscillating solutions of ordinary differential inequalities and equations
p. 187-191
On the existence of invariant tori for a periodic Hamiltonian system having some of characteristic indices with nonzero real part
p. 192-198
An estimate for the modulus of the derivative of a regular solution of an ordinary linear differential equation
p. 198-204
On the oscillation of solutions of systems of second-order differential equations
p. 204-217
On conditions for the continuous recovery of the current state of a linear system with delay from the results of observation
p. 217-227
Reciprocal controls and their applications
p. 228-236
Solution of a design problem for controllable processes with perturbation by means of a controllability function
p. 236-244
Conditions for the optimality of strategies in differential games of fixed duration
p. 244-255
Generic properties of conditional exponential stability. XVIII
p. 255-267
On the question of the justification of the averaging method for multifrequency oscillating systems
p. 267-278
On series expansion of an Andronov–Hopf manifold of a quadratic system in the plane
p. 278-282
Investigation of the asymptotic behavior of periodic solutions of autonomous parabolic equations by methods of the larger parameter
p. 283-292
Boundary value problems for general elliptic systems with strong degeneration
p. 292-300
On asymptotic solutions of differential equations in the case of finite motions of a Hamiltonian field
p. 300-308
Behavior of generalized solutions of the Dirichlet problem for higher-order quasilinear divergence elliptic equations in a neighborhood of the boundary
p. 308-320
On the solution of a multidimensional integral equation with a logarithmic kernel with radial density
p. 321-328
On the numerical determination of correlation functions of the solution of systems of linear integro-differential equations with randomly perturbed right-hand side
p. 328-338
On the solution of the inverse Cauchy problem for an equation with a variable operator
p. 339-341
On estimates for the orders of meromorphic solutions of second-order algebraic differential equations
p. 341-344
A singularly perturbed system of two first order partial differential equations in a conditionally stable case
p. 344-345
Applications of fixed-point theory to the Cauchy problem for equations with degrading operators
p. 345-348
On an asymptotic formula of Hartman in the theory of second-order linear equations
p. 348-350
On a finite system of ordinary differential equations with moving boundary
p. 350-351
On the method of successive approximations
p. 352-353
On algebroidal solutions of differential equations
p. 353-355
Remarks on the existence of a holomorphic integral in the critical case of a double zero root
p. 355-357
On integration of ordinary differential equations with $F$-derivatives
p. 357-358
On the localization of the limit set of the solutions of an evolution equation by means of Lyapunov functionals
p. 358-361

Sommaire du Fascicule no. 3

Generalized direct Lyapunov method for abstract semidynamic processes. II. Localization of the limit set of compact semidynamic processes. Applications to partial differential equations
p. 371-387
On generic bifurcations of diffeomorphisms of a circle
p. 388-394
On the divergence of transformations in an averaging method
p. 394-401
On stationary and periodic solutions of a nonlinear nonautonomous differential equation
p. 401-409
On periodic solutions with incommensurable periods of linear inhomogeneous periodic differential systems
p. 409-416
Description and estimate of sets of attainability of controllable systems
p. 416-423
On a comparison method for a problem of stability of periodic systems
p. 423-428
Asymptotic expansions of solutions of a degenerate hypergeometric equation
p. 428-434
On equations of neutral type with exterior differentiation
p. 434-442
A generalized problem of Bolza with delay
p. 442-450
On the existence of global Lyapunov–Krasovskiǐ functions for nonautonomous differential equations
p. 450-457
Optimization of an integral functional on a pencil of solutions of a controllable differential inclusion
p. 457-464
Nonautonomous dissipative dynamical systems. The method of Lyapunov functions
p. 464-474
Epsilon-controllability of nonstationary linear dynamic systems in Banach spaces
p. 475-480
On properties of moduli of continuity for functions on a sphere
p. 481-487
A multipoint nonlocal problem for partial differential equations
p. 487-492
On the smoothness of solutions of the Cauchy problem for a second-order hyperbolic operator-differential equation
p. 493-499
A problem of Lions for systems describable by a problem of Neumann
p. 499-508
The second Painlevé equation and the Korteweg–de Vries equation
Frequency conditions for the entry into a sliding state of nonlinear systems with discontinuous characteristics
p. 510-511
On a class of nonlinear integral equations of convolution type
p. 512-514
On the solvability of mixed problems for second-order parabolic equations in domains with curvilinear boundaries
p. 514-516
Asymptotics of the solution of the Cauchy problem for a Riccati matrix differential equation with two small parameters
p. 517-518
On a representation of the solution of a generalized elliptic boundary value problem
p. 518-521
On the asymptotic behavior of the solutions of a nonlinear system of differential equations
p. 521-524
Asymptotics of the regular solutions of nonlinear ordinary differential equations
p. 524-526
On the detection of instability of quasi flows by means of generalized characteristic Lyapunov numbers
p. 527-528
Multipoint resonance in a strongly nonlinear singularly perturbed system of differential equations
p. 529-530
On the fundamental solution of a differential operator with a singularity
p. 531-534
Symbolic dynamics for a nonlinear nonautonomous oscillator
p. 535-538
Structural instability of three-dimensional systems in an open domain of the parameter space
p. 538-539
On the smoothness of an invariant surface of a quasihomogeneous system in the neighborhood of a simple exceptional direction
p. 540-543
On a nonlocal Bitsadze–Samarskiǐ boundary value problem
p. 543-545

Sommaire du Fascicule no. 4

On the stability of the solutions of equations with retarded argument in a Hilbert space
p. 555-568
On the local boundedness of the solutions of a system of ordinary differential equations with respect to a set
p. 568-577
On the stability in the large of some multidimensional nonlinear differential systems which satisfy the generalized Routh–Hurwicz conditions
p. 577-589
On the observability of systems with delay
p. 589-597
On the transformation of some multipoint boundary value problems into the de la Vallée–Poussin problem and of the conditions of solvability
p. 598-608
On periodic solutions of the Liénard equation
p. 608-611
On a priori estimates for the solutions of ordinary differential equations
p. 611-618
Positional modeling of controls and initial functions for Volterra systems
p. 618-629
On the necessary conditions for an extremum in an optimal control problem with phase constraints
p. 629-640
Generic properties of conditional exponential stability. XIX
p. 640-658
Some oscillation theorems for multipoint problems
p. 658-670
On the sign of the Green function
p. 670-674
Construction of perturbations of Lyapunov functions and an investigation of stability under small random actions
p. 675-680
Observability and stability with respect to some variables
p. 680-685
Proximity of solutions of the Cauchy problem for some second-order parabolic equations
p. 686-696
Long-wave asymptotics of the solution of a nonlinear system of equations with small dispersion
p. 696-705
On the asymptotic behavior of the solutions of a nonlinear hyperbolic equation
On the connection between third-order systems with no moving critical points and the sine-Gordon equation
p. 707-708
On the stability of the zero solution of a second-order nonautonomous quasilinear equation
p. 708-712
On conditions for the dissipativity and existence of limit cycles of differential equations with a leading linear part
p. 712-714
On modified gradient methods for spectral problems
p. 715-717
A frequency criterion for the stability of systems of differential equations with hysteresis functions
p. 718-719
Application of the Drazin inversion on linear systems of differential equations
p. 719-721
Lyapunov functions and self-induced oscillations
p. 722-724
A linear completely integrable Pfaffian system with a regular singular point
p. 724-725
On a problem of the pursuit of a group of evaders
p. 725-726
Generalized solution of differential equations with a Fredholm operator at the derivative
p. 726-728
VI Всесоюзная конференция по качественной теории дифференциальных уравнений
p. 729-730

Sommaire du Fascicule no. 5

Nikolaǐ Pavlovich Erugin (on the occasion of his eightieth birthday)
p. 739-744
The stability of linear systems with aftereffect. I
p. 745-754
Existence of polar and pseudopolar solutions of autonomous systems of three differential equations. II
p. 754-760
On the theory of the fourth Painlevé equation
p. 760-768
On the quasiperiodic solutions of linear inhomogeneous differential systems
p. 768-774
On a problem of R. Conti
p. 775-791
On the problem of third-order nonlinear systems with single-valued moving singularities
p. 791-798
On the controllability of linear nonstationary systems
p. 798-806
Generic properties of conditional exponential stability. XX
p. 806-813
On the exponential indices of a triangular system and its diagonal approximation
p. 814-818
Perturbation of invariant manifolds. III
p. 818-825
On limit cycles of a two-dimensional autonomous system with nonlinearities of third degree
p. 825-834
The connection of asymptotics on various infinities of solutions of the second Painlevé equation
p. 834-842
On the structure of the matrix of coefficients of a regular Lappo–Danilevskiǐ system
p. 842-848
Limit cycles of autonomous systems with phase space $\mathbf C^2$
p. 848-851
Formulas for the expansion of given functions in eigenfunction series of a three-point boundary value problem with two parameters
p. 852-867
A problem of Dirichlet type for a third-order linear differential equation
p. 867-872
Regularization of ill-posed problems by means of a generalized inverse operator
p. 872-877
A three-point problem for third-order operator-differential equations
p. 877-881
An estimate for the difference of the solutions of two holomorphic systems of differential equations
p. 882-884
Classes of third-order systems with no moving critical points, and evolution equations
p. 885-886
Third-order reducible ordinary linear differential equations and related nonlinear equations
p. 887-890
Apropos a theorem of Wittich
p. 891-893
On solutions in closed form for a system of three differential equations with a functional parameter
p. 894-897
On the problem of the existence of systems of two differential equations that do not have solutions with moving transcendental and essentially singular points
p. 897-899
Conditions for the asymptotic stability of a linear system of special form
p. 899-902
On conditionally solvable integro-differential operators
p. 902-904
On the connection of the first Painlevé equation with the Korteweg–de Vries equation
p. 904-905
On the theory of the completeness of linear systems with retarded argument of neutral type
p. 905-908
Problems of pursuit on the $1$-skeleton of a cube
p. 908-911
On the solutions of an equation of nonlinear optics
p. 911-913

Sommaire du Fascicule no. 6

Generalized direct Lyapunov method for abstract semidynamic processes. III. Localization of the limit set of compact dispersible semidynamic processes. Applications to evolution equations
p. 923-936
Uniqueness theorems for differential equations with hysteresis nonlinearities
p. 937-941
The property of being an unconditional basis on a closed interval, for systems of eigen- and associated functions of a second-order operator with discontinuous coefficients
p. 941-952
Sufficient conditions for the property of being a basis in $L_p$ and for equiconvergence with a trigonometric series of spectral expansions
p. 952-960
Direct and inverse spectral problems for a class of ordinary differential pencils on a finite interval
p. 960-971
Construction of connecting multipliers for the system of linear differential equations $x\varphi'=(A_0+A_1x)\varphi$
p. 971-981
On the isochronicity of systems of two differential equations whose right-hand sides contain common factors
p. 981-993
On the properties of a differential operator with a multiple turning point
p. 993-999
The averaging method and the local equivalence of analytic systems with a small parameter
p. 999-1009
A criterion for the asymptotic stability of a system of two differential equations with homogeneous right-hand sides
p. 1009-1014
Uniform asymptotic expansions for the solutions of second-order differential equations with two turning points and a complex spectral parameter
p. 1014-1020
Mixed boundary value problems in a nonsmooth domain for quasilinear equations that contain the biharmonic operator
p. 1021-1029
Dynamic problems for spherical and cylindrical shells
p. 1029-1037
On conditions for the uniform convergence of expansions in root vectors of nonselfadjoint extensions of the Laplace operator
p. 1037-1052
Generalized solutions of a system of equations of the boundary layer of dilatant fluids, and the finite rate of perturbations
p. 1053-1061
A priori estimates on the boundary of the domain for the solution of boundary value problems of plane elasticity
p. 1061-1071
Integral representations of the fundamental system of solutions of a class of higher-order equations
p. 1072-1074
On the convergence of A. M. Samoǐlenko's method of successive approximations for second-order equations
p. 1074-1077
The collocation method for solving bisingular integral equations with Cauchy kernels
p. 1077-1080
On a method for solving linear differential-functional equations with constant coefficients
p. 1080-1081
Overdetermined boundary value problems
p. 1081-1084
Bifurcation of the periodic solution of a completely integrable Pfaffian system
p. 1084-1086
On the functional-invariant solutions of a class of second-order quasilinear partial differential equations with two independent variables
p. 1087-1088
Solution of the polyvector Lamé–Helmholtz equation
p. 1089-1092
О семинаре по качественной теории дифференциальных уравнений в Московском
p. 1093-1099

Sommaire du Fascicule no. 7

Efficient difference schemes for nonlinear hyperbolic equations. II
p. 1107-1116
A method for the investigation of the convergence of nonlinear difference schemes
p. 1116-1127
Numerical solution of conjugate problems of heat- and mass-exchange taking into account phase transition
p. 1127-1132
Estimates for localized unbounded solutions of quasilinear parabolic equations
p. 1133-1143
The method of “factored thermal displacement” for the efficient solution of the heat equation on nonorthogonal nets
p. 1143-1154
Mathematical modeling of the Stefan problem on an adaptive net
p. 1154-1160
The method of nets adapted to the solution in singularly perturbed one-dimensional boundary value problems
p. 1160-1169
Numerical investigation of finite-dimensional models of Marangoni convection
p. 1169-1177
Exact solution of a class of boundary value problems of the dissolving of a dense filtering crystal layer
p. 1177-1188
A difference method for solving the Stefan problem for a binary system
p. 1188-1197
A nonlocal boundary value problem of the first kind for the Sturm–Liouville operator in differential and difference interpretations
p. 1198-1207
An estimate for the rate of convergence of a difference scheme in the$L_2$-norm for the third boundary value problem of axisymmetric elasticity theory on solutions in $W_2^1(\Omega)$
p. 1207-1219
The Goursat problem with boundary functions in the class $L_2$
p. 1219-1231
A difference method for solving a two-dimensional spectral problem in an unbounded domain
p. 1231-1240
Investigation of algorithms for the numerical solution of systems of parabolic equations with nonlinear boundary conditions
p. 1240-1250
Numerical methods for integral equations of potential theory
p. 1250-1262
Comparison of difference schemes for the modeling of transient processes in bipolar semiconductors
p. 1262-1268
On some boundary value problems with a nonlocal condition
p. 1268-1274
A method for the introduction of local artificial viscosity into difference equations
p. 1275-1278
On some singular problems for second-order ordinary differential equations
p. 1278-1282
Поправки к статье: «Качественное исследование критических случаев устойчивости движения» (Дифференц. уравнения. 1984. Т. 20,  10. С. 1715–1720)
Letter to the editor: “On the localization of the limit set of the solutions of an evolution equation by means of Lyapunov functionals”

Sommaire du Fascicule no. 8

The structure of the solutions of a periodic Pfaffian system with one zero root of the characteristic equation
p. 1291-1299
Control of the spectrum of a dynamical system
p. 1299-1302
Description of the pencil of viable trajectories of a control system
p. 1303-1315
Duality in problems of the theory of convex difference inclusions with aftereffect
p. 1315-1324
Conditions for the existence of a homogeneous linear partial integral of a differential system
p. 1324-1331
$C^\infty$-equivalence of systems of differential equations with exponential asymptotic behavior of the solutions in a neighborhood of an invariant manifold
p. 1331-1342
Determination of the parameter of an evolution equation and inverse problems of mathematical physics. III
p. 1343-1353
Stabilization of the solutions of parabolic equations with oscillating coefficients
p. 1353-1359
The Riemann problem for nonselfadjoint elliptic differential equations
p. 1360-1366
Fourth-order degenerate operator-differential equations
p. 1366-1376
A class of inverse problems for elliptic equations
p. 1376-1383
Conditions for radiation and the principle of limit absorption for quasilinear elliptic equations in unbounded domains
p. 1383-1391
On the approximate solution of singular integral equations
p. 1392-1402
Convergence of difference solutions to generalized solutions of the first boundary value problem for a fourth-order elliptic operator in domains of arbitrary form
p. 1403-1407
Rate of convergence of the Bubnov–Galerkin method for a nonclassical system of differential equations
p. 1407-1416
The reduction method for the solution of complete singular integral equations on a Lyapunov contour
p. 1416-1422
A nonlocal boundary value problem of the second kind for the Sturm–Liouville operator
p. 1422-1431
Calculation of the moments of the distribution function of fast electrons for a plasma with elastic collisions
p. 1431-1436
Investigation of the equations of nonstationary nonlinear filtration
p. 1436-1446
Some results of an investigation of kinetically consistent difference schemes
p. 1446-1452
Investigation of the convergence of difference schemes for the quasilinear Sobolev equation
p. 1453-1455
Logarithmic singularities of some classical linear differential equations
p. 1455-1457
Stability of motion in a critical case
p. 1458-1461
Asymptotic representations of the solutions of linear systems of ordinary differential equations
p. 1461-1464
A variational approach to a problem of the absolute stability of nonstationary nonlinear systems
p. 1464-1466
On a vibrational boundary value problem
p. 1466-1467

Sommaire du Fascicule no. 9

Asymptotic solutions of differential equations of hypergeometric type
p. 1475-1483
The exponents of a piecewise-constant three-dimensional system
p. 1483-1497
A generalization of the Banach–Cacciopolli principle to operators in pseudometric spaces
p. 1497-1504
The solution of nonlinear boundary value problems for ordinary differential equations
p. 1504-1510
Evolution equations with infinite-dimensional pseudodifferential operators
p. 1510-1519
Some asymptotic properties of the solutions of a system of Emden–Fowler type
p. 1519-1532
The discrete spectrum of a problem connected with wave propagation in an inhomogeneous medium with viscous friction
p. 1533-1538
On the stabilization of nonstationary dynamical objects
p. 1539-1543
Bifurcations of limit cycles of a quadratic system with two singular points and two parameters that rotate the field
p. 1544-1553
A class of multidimensional strongly connected elliptic systems
p. 1554-1559
Solvability of a boundary value problem for a high-order equation of mixed type
p. 1560-1567
The parabolic capacity of a set and some characteristics of and estimates for it
p. 1567-1574
Systems of operator-differential equations
p. 1574-1585
On the Riemann-Hilbert problem for a degenerate system of first-order equations
p. 1585-1590
A method for the approximate solution of a Maxwell system
p. 1590-1599
Semibounded solutions of inverse problems of the calculus of variations
p. 1599-1607
The Dirichlet problem for a multidimensional system of elliptic type
p. 1608-1612
The formulation of well-posed boundary value problems for a class of systems of evolution type
p. 1613-1617
An integral equation of transport theory in an inhomogeneous medium
p. 1618-1622
Dual integral equations connected with the eigenfunctions of the Steklov problem for a conic domain
p. 1622-1626
A dynamic model of a readjustment process of devices of an active moving object
p. 1626-1629
Asymptotic expansions of the vanishing and bounded solutions of ordinary differential equations
p. 1629-1632
The method of lower and upper functions for second-order differential equations with singularities
p. 1632-1634
The equivalence of some classes of first-order elliptic and hyperbolic systems and second-order partial differential equations
p. 1634-1637
A singular system of ordinary differential equations
p. 1637-1639
On the problem of the splitting of systems of differential equations that are dependent on two parameters
p. 1640-1643
A class of integral equations in a space of functions over a finite field
p. 1643-1645
Wiener–Hopf operators with oscillating coefficients
p. 1645-1647
Uniqueness of the solution of the inverse problem for a differential equation in a Banach space
p. 1647-1649

Sommaire du Fascicule no. 10

A functional-differential inclusion with an operator that has nonconvex images
p. 1659-1668
A method of integral transformations for solving some classes of differential equations
p. 1668-1679
Estimates for the solutions of a second-order differential equation
p. 1679-1684
Positive solutions of boundary value problems for second-order ordinary differential equations with singularities
p. 1685-1692
Some methods in perturbation theory connected with averaging
p. 1693-1704
A piecewise constant integral for multivalued mappings
p. 1705-1710
Vector boundary value problems generated by a scalar differential operator
p. 1711-1715
Lamé wave functions in Jacobi form. I
p. 1715-1724
Differential boundary value problems for first-order elliptic systems on Riemann surfaces
p. 1725-1736
Fourier series expansions in principal functions of an elliptic operator
p. 1736-1745
The periodic Cauchy problem for an equation of parabolic type in classes of generalized functions
p. 1745-1751
Inequalities of Bessel, Hausdorff–Young–Riesz and Hilbert type in a system of eigen- and associated functions of a second-order elliptic operator
p. 1751-1763
Biorthogonal expansions in eigenfunctions. I
p. 1764-1772
Decrease of the norm of the solution of a mixed problem for a higher-order parabolic equation
p. 1772-1780
Darboux problems for hyperbolic equations with degeneration of type and order
p. 1780-1786
Averaging of elliptic operators with a high order of nonlinearity in the lower terms
p. 1786-1791
Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. I
p. 1791-1799
A collocation method for solving singular integral equations on a complex contour
p. 1800-1802
Calculation of the coefficients of Lie series for solving ordinary differential equations
p. 1802-1804
Radiation principles for a higher-order elliptic equation in a tube domain
p. 1804-1807
Operators with a noninvertible expanding shift in Hölder spaces
p. 1807-1809
Approximate construction of attainability sets of differential inclusions in Banach space
p. 1809-1811
A third order equation containing multiple poles with respect to the desired function
p. 1811-1812
Completeness of the system of eigenfunctions of the multigroup diffusion approximation of a conditional-critical problem with a homogeneous active zone and an arbitrary reflector
p. 1812-1815
A functional taking extremal values on periodic solutions of a differential equation
p. 1816-1818
Estimate of the Green function of two-point boundary value problem for a linear singularly perturbed system
p. 1818-1819
Theorems of the Lyapunov functions method for quasiflows
p. 1819-1821
On a system connected with generalized analytic functions
p. 1821-1823
The Cauchy problem for a linear operator equation of Sobolev type with a nonpositive operator multiplying the derivative
p. 1823-1826
Local $C^1$-equivalence of systems of differential equations in a neighborhood of an asymptotically stable complex singular point
p. 1826-1828
A zonal hydrodynamic model of the general circulation of the atmosphere with conservation of angular momentum with respect to the axis of rotation
p. 1828-1832

Sommaire du Fascicule no. 11

Investigation of a spectral problem of the theory of laminar flows of an ideal incompressible heavy fluid
p. 1843-1851
A singularly perturbed linear system in a critical case
p. 1851-1861
On the generalized de la Vallée–Poussin problem
p. 1861-1872
The unimprovability of the I. T. Kiguradze–G. G. Kvinikadze condition for the existence of unbounded regular solutions of the Emden-Fowler equation
p. 1872-1881
Asymptotic integration of the variational system of a multidimensional relaxation cycle. I
p. 1881-1889
Optimal pulse-point control of the dynamics of a viscous stratified fluid
p. 1890-1897
Asymptotic behavior at infinity of the solutions of first-order ordinary differential systems and of equations of arbitrary order
p. 1897-1903
Perturbation theory in a complex domain for equations of Turritin type with a small parameter multiplying the derivative
p. 1904-1913
Lamé wave functions in Jacobi form. II
p. 1913-1922
A priori estimates for Hölder norms of solutions of quasilinear $B$-elliptic equations
p. 1923-1930
An expansion of an arbitrary function in an integral in associated spherical functions
p. 1930-1937
On the existence of solutions of the Cauchy problem and of linear boundary value problems for a second-order parabolic equation in an unbounded domain. I
p. 1937-1948
Biorthogonal expansions in eigenfunctions. II
p. 1948-1956
On $L_p$-estimates for the Klein–Gordon equation
p. 1956-1963
Laurent-type series for solutions of second-order elliptic equations
p. 1964-1970
Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. II
p. 1971-1980
On the differentiability of extremals of variational problems of the mechanics of ideally elastoplastic media
p. 1981-1991
Characteristic difference scheme for a system of equations of three-dimensional gas dynamics
p. 1992-1995
Poincaré singular points of complex equations
p. 1995-1997
A third order differential equation with six singular points
p. 1997-1998
Ideal observability of discrete systems with delay
p. 1998-2001
A stochastic method for solving the Boltzmann equation for a gas with an arbitrary interaction law
p. 2001-2004
Asymptotic behavior of the eigenvalues of a fourth-order differential operator
p. 2004-2006
On the eigenvalues of the Sturm–Liouville equation
p. 2006-2008
Generalization of a theorem of Wiman and Valiron and the estimation of the order of growth of meromorphic solutions of algebraic differential equations
p. 2008-2011
Iterative methods of Newton–Kantorovich type in the solution of nonlinear ill-posed problems with monotone operators
p. 2012-2014
Approximations and expansions of solutions of linear boundary value problems with parameters
p. 2014-2017
Passage from an equation of the Fuchsian class to a system of the Fuchsian class
p. 2017-2018

Sommaire du Fascicule no. 12

Reduction of a linear system to block-triangular form
p. 2027-2031
Two-sided estimates for solutions of systems of linear differential equations
p. 2031-2036
Asymptotic integration of the variational system of a multidimensional relaxation cycle. II
p. 2036-2047
A frequency criterion for the existence of limit cycles of dynamical systems with a cylindrical phase space
p. 2047-2051
Strictly positive Lyapunov functionals for linear systems with aftereffect
p. 2051-2060
Prolongation of the loss of stability in the case of dynamic bifurcations. I
p. 2060-2067
On a theorem of Kneser
p. 2068-2074
A method for constructing systems of nonlinear differential equations of arbitrary order with moving polar singular points
p. 2074-2079
Spectral theory of a problem on normal oscillations of an ideal compressible fluid in a rotating rigid container
p. 2080-2087
Stabilization of solutions of dissipative hyperbolic equations with almost periodic coefficients
p. 2087-2094
An inequality of Harnack type for the solutions of degenerate parabolic equations with discontinuous coefficients
p. 2094-2108
A problem of hydrodynamics with a free boundary
p. 2108-2114
Sliding states in difference systems with variable structure
p. 2115-2122
Additive schemes for the modeling of three-dimensional equations of heat conduction in cylindrical and spherical coordinates
p. 2122-2132
Difference schemes of the method of “Dirichlet particles”, which preserve the one-dimensionality of gas dynamic flows in Cartesian, cylindrical and spherical coordinates
p. 2133-2147
On the approximate solution of integral equations of convolution type
p. 2147-2152
On a multicriteria problem of the control of motion
p. 2153-2154
A boundary value problem that admits discontinuous solutions
p. 2154-2157
The second method of Lyapunov in problems of the control of motion
p. 2157-2159
On the existence of $O$-curves of systems of ordinary differential equations asymptotically equal to a given curve
p. 2159-2161
On the asymptotic stability of a class of nonautonomous systems
p. 2161-2163
On the theory of stabilization of linear periodic control systems
p. 2163-2164
Some necessary conditions for optimality for a class of systems with distributed parameters
p. 2164-2167
On the eigenvalues of the Schrödinger equation
The Cauchy problem for a linear singular operator equation of Sobolev type
p. 2168-2171
Coefficient conditions for the center in the sense of Dulac of a differential system with a zero characteristic root and homogeneous nonlinearities
p. 2171-2173
Generic properties of characteristic vectors
p. 2173-2175
Application of asymmetric schemes on triangular grids for the solution of the heat equation
p. 2175-2178
On the solvability of the generalized Riemann boundary value problem for analytic functions
p. 2179-2181
Moving singularities of a system of equations of motion of a rigid body with a fixed point
p. 2181-2182
О семинаре по качественной теории дифференциальных уравнений в Московском университете
p. 2183-2189